Theorems · Theorem · group theory
Subgroup.Commensurable.conj
∀ {G : Type u_1} [inst : Group G] {H K : Subgroup G},
H.Commensurable K → ∀ (g : ConjAct G), (g • H).Commensurable (g • K)Alias for the forward direction of commensurable_conj to allow dot-notation
- Defined in
- Mathlib.GroupTheory.Commensurable
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- ConjActstatement and proof · cited by 79
- Subgroup.pointwiseMulActionstatement · cited by 66
- Subgroup.Commensurablestatement and proof · cited by 20
- Subgroup.Commensurable.commensurable_conjproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Subgroup.IsArithmetic.conjproof · cited by 1